Green's function evaluation for three-dimensional exponentially graded elasticity
نویسندگان
چکیده
منابع مشابه
Three-Dimensional Interfacial Green’s Function for Exponentially Graded Transversely Isotropic Bi-Materials
By virtue of a complete set of two displacement potentials, an analytical derivation of the elastostatic Green’s functions of an exponentially graded transversely isotropic bi-material full-space was presented. Three-dimensional point-load Green’s functions for stresses and displacements were given in line-integral representations. The formulation included a complete set of transformed stress-p...
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by virtue of a complete set of two displacement potentials, an analytical derivation of the elastostatic green’s functions of an exponentially graded transversely isotropic bi-material full-space was presented. three-dimensional point-load green’s functions for stresses and displacements were given in line-integral representations. the formulation included a complete set of transformed stress-p...
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The free-space Green function for a two-dimensional exponentially graded elastic medium is derived. The shear modulus μ is assumed to be an exponential function of the Cartesian coordinates (x, y), i.e. μ ≡ μ(x, y) = μ0e12, where μ0, β1, and β2 are material constants, and the Poisson ratio is assumed constant. The Green function is shown to consist of a singular part, involving modified Bessel ...
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2007
ISSN: 0029-5981
DOI: 10.1002/nme.2223